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Finding the Fourth Proportional to 55.20, 83.20 and 54.40

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Solution

The fourth proportional to 55.20, 83.20 and 54.40 is: 81.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.20 : 83.20 = 54.40 : x
  2. Step 2: Convert to fraction form
    55.20/83.20 = 54.40/x
  3. Step 3: Cross multiply
    55.20x = 83.20 × 54.40
  4. Step 4: Simplify right side
    55.20x = 4,526.08
  5. Step 5: Solve for x
    x = 4,526.08/55.20
  6. Step 6: Final answer
    x = 81.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.